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Finding the Fourth Proportional to 474,743.52, 712,003.49 and 137,695.23

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Solution

The fourth proportional to 474,743.52, 712,003.49 and 137,695.23 is: 206,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,743.52 : 712,003.49 = 137,695.23 : x
  2. Step 2: Convert to fraction form
    474,743.52/712,003.49 = 137,695.23/x
  3. Step 3: Cross multiply
    474,743.52x = 712,003.49 × 137,695.23
  4. Step 4: Simplify right side
    474,743.52x = 98,039,483,627.88
  5. Step 5: Solve for x
    x = 98,039,483,627.88/474,743.52
  6. Step 6: Final answer
    x = 206,510.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.